Tensor lattice field theory for renormalization and quantum computing
Y Meurice, R Sakai, J Unmuth-Yockey - Reviews of modern physics, 2022 - APS
The successes and limitations of statistical sampling for a sequence of models studied in the
context of lattice QCD are discussed and the need for new methods to deal with finite …
context of lattice QCD are discussed and the need for new methods to deal with finite …
Simulating lattice gauge theories within quantum technologies
Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …
Review on novel methods for lattice gauge theories
MC Banuls, K Cichy - Reports on Progress in Physics, 2020 - iopscience.iop.org
Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …
quantum field theories, and has led to impressive achievements. In particular, it significantly …
General methods for digital quantum simulation of gauge theories
A general scheme is presented for simulating gauge theories, with matter fields, on a digital
quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is …
quantum computer. A Trotterized time-evolution operator that respects gauge symmetry is …
Gluon field digitization for quantum computers
Simulations of gauge theories on quantum computers require the digitization of continuous
field variables. Digitization schemes that use the minimum amount of qubits are desirable …
field variables. Digitization schemes that use the minimum amount of qubits are desirable …
Primitive quantum gates for an discrete subgroup: Binary tetrahedral
EJ Gustafson, H Lamm, F Lovelace, D Musk - Physical Review D, 2022 - APS
We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …
Parton physics on a quantum computer
Parton distribution functions and hadronic tensors may be computed on a universal quantum
computer without many of the complexities that apply to Euclidean lattice calculations. We …
computer without many of the complexities that apply to Euclidean lattice calculations. We …
Gluon field digitization via group space decimation for quantum computers
Efficient digitization is required for quantum simulations of gauge theories. Schemes based
on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this …
on discrete subgroups use fewer qubits at the cost of systematic errors. We systematize this …
Prospects for simulating a qudit-based model of scalar QED
EJ Gustafson - Physical review D, 2021 - APS
We present a gauge invariant digitization of (1+ 1) d scalar quantum electrodynamics for an
arbitrary spin truncation for qudit-based quantum computers. We provide a construction of …
arbitrary spin truncation for qudit-based quantum computers. We provide a construction of …
Primitive quantum gates for an discrete subgroup:
We construct the primitive gate set for the digital quantum simulation of the 108-element Σ
(36× 3) group. This is the first time a non-Abelian crystal-like subgroup of SU (3) has been …
(36× 3) group. This is the first time a non-Abelian crystal-like subgroup of SU (3) has been …